A knot diagram is a regular projection of a knot that has relative height information at each of the double points. In [1]}, [2]}, Adams introduced an \(n\) -crossing in a knot or link projection (also known as a multi-crossing when \(n\)  is not specified), which is a point such that \(n\)  strands pass straight through it and the relative heights of the strands are specified.
For each \(n \ge 2\) , every knot and link has a projection such that all crossings are \(n\) -crossings [1]}. In [4]}, it is proved that every knot has a projection with a single multi-crossing.
